Page 200 - ICSE Math 6

PRACTICE TIME

1. What is the length of the longest chord of a circle of radius 8 cm?

2. If the radius of a circle is 7 cm with centre at A and
(a) AP = 6.5 cm, then P lies _______ of the circle.
(b) AP = 8.6 cm, then P lies _______ of the circle.

(c) AP = 7 cm, then P lies _______ of the circle.
3. The radius of a circle is 4.5 cm. Find the length of its diameter.
4. If the diameter of a circle is 12 cm, then what is the length of a line segment joining the centre
and a point on the circumference of the circle?
5. Draw a circle of radius 6 cm with the help of a ruler and a compass.
6. Draw a circle of radius 5 cm with its centre at O. Mark points A and B on the circle such that
AOB makes a quadrant.
7. Draw a line segment of length 11 cm and name it as PQ. Construct a circle having PQ as its
diameter.

8. Draw a line segment XY of length 4 cm. Then, do as directed.
(a) Draw a circle with XY as the diameter.
(b) Draw a circle with XY as the radius and centre at X.
9. Draw a circle with AB = 5 cm as the diameter. Take any point O on the circle and join OA and
OB. Then, measure ∠AOB.

10. Take any three non-collinear points. Draw a circle passing through these points using a ruler and
a compass.

11. Draw any triangle of your choice. Draw a circle passing through the vertices of this triangle using
a ruler and a compass.
12. Mukesh has a 25 cm long and 5 cm wide piece of paper. How many circles each of diameter 5
cm can he cut from it?
13. A helipad is a landing and take-off area for helicopters. FATO
The safety area on a helipad is the area which is free of
obstacles to reduce the risk of damage to helicopeters
accidentally moving out from the “Final Approach and Safety area
Takeoff Area (FATO)”. The boundary of safety area
is usually 3 m away from the boundary of FATO. If a
circular FATO has the radius of 20 m, what should be
the radius of safety area?
Helipad

THINK SMART

1. Circle A lies completely inside another circle B, without touching its boundary. State the following
as True or False with reasoning.

(a) The centre of circle A is in interior of both the circles.
(b) The diameter of circle B is longer than that of the circle A.

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